Answer:
The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².
Step-by-step explanation:
An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.
The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.
The area is calculated using the following formula:

Where:
- n is the number of sides.
- L is the length of one of the sides.
- Ap is the value of the apothem.
Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of the regular octagon can be calculated by:

In this case:
Replacing:

Solving:
Area=482.8 ft²
<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>
P=69 degrees
Q=71 degrees
R=40 degrees
Explanation
All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.
5x+20=180
Subtract 20 from 180
5x=160
Divide 160 by 5
x=40
Answer:
16
Step-by-step explanation:
Answer:
it's -4 i don't know what you mean by regrouping, sorry
Step-by-step explanation:
Answer:
4π(w+1)(w-1)
Step-by-step explanation:
The total surface area of the cylinder
= 2 x area of base circle + area of vertical surface
= 2x pi x radius^2 + 2x pi x radius x height
= 2π(w-1)^2 + 2π(w-1)(w+3)
= 2π[w^2-2w+1 + w^2+2w-3]
= 2π(2w^2-2)
= 4π(w^2 - 1)
= 4π(w+1)(w-1)